Ventura, Jade
Assistant Professor
Research Interests
Differential geometry. Geometric models of (a) fundamental physical interactions (e.g. general relativity, standard model); (b) life and evolution; (c) consciousness and intelligence.
Differential geometry. Geometric models of (a) fundamental physical interactions (e.g. general relativity, standard model); (b) life and evolution; (c) consciousness and intelligence.
Academic Groups
 Groups, Geometry, and Representations (member)
 Modelling and Applications (affiliate)

Education

PhD Mathematics (2021)
Université de Bretagne OccidentaleDissertation: Biconformal Deformations and Solutions to the Einstein Equation
Adviser: Dr. Paul Baird 
MS Mathematics (2014)
University of the Philippines DilimanThesis: Parallel Travel on Spacetime Manifolds
Adviser: Dr. Richard S. Lemence 
BS Applied Mathematics (2010), class valedictorian
University of the Philippines MindanaoThesis: Behavior Pattern Discovery Using Behavior Matrices and Behavior Prediction Relationships: The Case of Prey Delivery Instances of the Philippine Eagle Pithecophaga jefferyi
Adviser: Dr. May Anne E. Mata

PhD Mathematics (2021)

Research
Current research projects
 $SU(5)$bundles
Collaborator: Dr. Clarisson Rizzie Canlubo  Combinatorial universe
Collaborators: Dr. Paul Baird, Dr. Clarisson Rizzie Canlubo  Biconformal deformation: Partial differential equations
Collaborator: Dr. Mark Philip Ona  Biconformal deformation: Riemannian case
Collaborator: Dr. Paul Baird  Biconformal deformation: Spacetime case
Collaborators: Dr. Paul Baird, Dr. JeanPhilippe Nicolas  Heuristic optimization on manifolds
Collaborator: Dr. Arrianne Crystal Velasco  Pattern recognition using binary matrices
Collaborators: Dr. May Anne Mata, Dr. Arrianne Crystal Velasco, Ms. Kim Dianne Ligue  Parallel travel on spacetimes
 Twistor theory on curved manifolds
Collaborator: Dr. Paul Baird
Research students
 Mark Alegre (ongoing)
Topic: Knot theory and Khovanov cohomology
Cosupervisor: Dr. Julius Basilla  Garry Dacillo (ongoing)
Topic: Braided ribbons and quantum codes
Cosupervisor: Dr. Clarisson Rizzie Canlubo  Angelo Emmanuel Ho (ongoing)
Topic: Evolution of shape operator  Alaina Rose Plaza (ongoing)
Topic: Pattern recognition using binary matrices, applied to macaque behavior
Cosupervisors: Dr. May Anne Mata, Ms. Kim Dianne Ligue  Cedie Reyes (ongoing)
 $SU(5)$bundles

Teaching
Courses handled/being handled
 Undergraduate courses
Math 20 (or equivalent) Precalculus
Math 21 (or equivalent) Calculus 1
Math 22 (or equivalent) Calculus 2
Math 23 (or equivalent) Calculus 3
Math 140 Introduction to modern geometries
Math 146 Differential geometry of curves and surfaces  Graduate courses
Math 246 Differential geometry
 Undergraduate courses

Publications
 P. Baird and J. Ventura, Fourdimensional Einstein metrics from biconformal deformations, Arch. Math. 57 (2021), no. 5, 255283, DOI 10.5817/AM20215255.